5 required steps in developing and administering a survey test:
n Identify a sequence of successive skills included in the school curriculum: many curriculum unit tests or review tests provide a source of sequenced skills and corresponding test items.
n Select a span of math skills to be assessed: the teacher has a multitude of options for developing survey tests for different spans of skills.
n Construct or select items for each skill within the range selected: a survey test may be used to assess computation and problem-solving skills.
n Administer and score the survey test: the teacher instructs the students to solve successive problems during the 2-minute timing.
n Display the results in a box plot, interpret the results, and plan instruction: to increase the accuracy of the results, it helps to develop an alternate form of the survey test and administer both survey probes of the same skills.
Some axioms that are especially important for teaching math skills to students with learning problems are:
commutative property of addition: no matter what order the same numbers are combine in, the sum remains constant:
a +b = b +a ---- 4 +5 = 5+4
· commutative property of multiplication: regardless of the order of the numbers being multiplied, the product remains constant
a x b = b x a -------4 x 5 = 5 x 4
· associative property of addition and multiplication: regardless of grouping arrangements, the sum or product is unchanged
Addition: (a+b) + c = a + (b+c) ---------- (4+5)+6 = 4 +(5+6)
Multiplication: (axb) x c = a x (bxc)-------- (2x3) x 4 = 2 x (3x4)
· distributive property of multiplication over addition: this rule relates the two operations
· inverse operations for addition and multiplication: these axioms relate operations that are opposite in their effects. The following equations demonstrate inverse operations
Addition and Subtraction:
a + b = c------- 5 +4 = 9
c - a=b ------ 9 -5 = 4
c - b = a ------- 9 – 4 = 5
Multiplication and Division
a x b = c------- 2 x 3 = 6
c / a = b------ 6/2 = 3
c / b = a -------- 6 / 3 = 2
Suggested Mastery Rates According to Specific Math Objectives
Survey Test of 3rd grade computation skills
Survey Test Division with whole numbers
5 required steps in developing and administering a survey test:
n Identify a sequence of successive skills included in the school curriculum: many curriculum unit tests or review tests provide a source of sequenced skills and corresponding test items.
n Select a span of math skills to be assessed: the teacher has a multitude of options for developing survey tests for different spans of skills.
n Construct or select items for each skill within the range selected: a survey test may be used to assess computation and problem-solving skills.
n Administer and score the survey test: the teacher instructs the students to solve successive problems during the 2-minute timing.
n Display the results in a box plot, interpret the results, and plan instruction: to increase the accuracy of the results, it helps to develop an alternate form of the survey test and administer both survey probes of the same skills.
Some axioms that are especially important for teaching math skills to students with learning problems are:
commutative property of addition: no matter what order the same numbers are combine in, the sum remains constant:
· commutative property of multiplication: regardless of the order of the numbers being multiplied, the product remains constant
· associative property of addition and multiplication: regardless of grouping arrangements, the sum or product is unchanged
· distributive property of multiplication over addition: this rule relates the two operations
· inverse operations for addition and multiplication: these axioms relate operations that are opposite in their effects. The following equations demonstrate inverse operations
Suggested Mastery Rates According to Specific Math Objectives